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Pàgina inicial > Articles > Articles publicats > Some remarks on almost finitely generated nilpotent groups |
Data: | 1992 |
Resum: | We identify two generalizations of the notion of a finitely generated nilpotent. Thus a nilpotent group G is fgp if Gp is fg as p-local group for each p; and G is fg-like if there exists a fg nilpotent group H such that Gp = Hp for all p. Then we have proper set-inclusions {fg} C {fg-like} C {fgp}. We examine the extent to which fg-hke nilpotent groups satisfy the axioms for a Serre class. We obtain a complete answer only in the case that [G, G] is finite . (The collection of fgp nilpotent groups is known te form a Serre class in the extended sense). |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Publicat a: | Publicacions matemàtiques, Vol. 36 Núm. 2 (1992) , p. 655-662, ISSN 2014-4350 |
8 p, 197.1 KB |